The Linearization Method in Hydrodynamical Stability Theory
The Linearization Method in Hydrodynamical Stability Theory
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Sign in or Sign up!- Release Date: 30/12/1989
- Barcode: 9780821845288
- Imprint: American Mathematical Society
- Publisher: American Mathematical Society

The Linearization Method in Hydrodynamical Stability Theory
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DESCRIPTION
Presents the theory of the linearization method as applied to the problem of steady-state and periodic motions of continuous media. This book proves infinite-dimensional analogues of Lyapunov's theorems on stability, instability, and conditional stability for a large class of continuous media.
This book presents the theory of the linearization method as applied to the problem of steady-state and periodic motions of continuous media. The author proves infinite-dimensional analogues of Lyapunov's theorems on stability, instability, and conditional stability for a large class of continuous media. In addition, semigroup properties for the linearized Navier-Stokes equations in the case of an incompressible fluid are studied, and coercivity inequalities and completeness of a system of small oscillations are proved.
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